|
|
A337299
|
|
Expansion of Product_{k>0} (1 - 2^(k-1)*x^k).
|
|
4
|
|
|
1, -1, -2, -2, -4, 0, -8, 16, 0, 64, 64, 384, 0, 1536, 1024, 3072, 2048, 16384, -8192, 49152, -32768, 32768, -65536, 262144, -1835008, 524288, -3145728, -6291456, -18874368, -4194304, -117440512, -16777216, -301989888, -469762048, -671088640, -805306368, -6710886400, 536870912
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -1, g(n) = 2^(n-1).
|
|
LINKS
|
|
|
MATHEMATICA
|
m = 37; CoefficientList[Series[Product[1 - 2^(k - 1)*x^k, {k, 1, m}], {x, 0, m}], x] (* Amiram Eldar, Aug 22 2020 *)
|
|
PROG
|
(PARI) N=40; x='x+O('x^N); Vec(prod(k=1, N, 1-2^(k-1)*x^k))
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|